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Economic Evaluation. Objective of Analysis Criteria Nature Peculiarities Comparison of Criteria Recommended Approach . Objectives of Economic Evaluation Analysis. Is individual project worthwhile? Above minimum standards? This is a “choice”, is it better or not? This is easier
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Economic Evaluation • Objective of Analysis • Criteria • Nature • Peculiarities • Comparison of Criteria • Recommended Approach
Objectives of Economic Evaluation Analysis • Is individual project worthwhile? Above minimum standards? • This is a “choice”, is it better or not? • This is easier • Is it best? Is it at top of ranking list? • This is a “judgment” about details • This is more difficult • Note difference between “choice” and “judgement” -- a key consideration in selection of method to be used in real options analysis
Principal Evaluation Criteria • Net Present Value • Benefit - Cost Ratio • Internal Rate of Return • Cost-Effectiveness Ratio • Pay-Back Period
NPV = B - C (stated in present values) Objective: To Maximize Advantage: Focus on Result Disadvantages Interpretation of NPV No account for scale, thus difficult to use for ranking Net Present Value
Present Value and Net Present Value: Example Calculations Note: c9:n9 => range of years 1 to 12; b9 => year 0 Thus formula = NPV of cash flows to start of year 1 + cost investment
Difficulty in Interpreting Meaning of NPV • Suppose for example that a project • costs 1000 • sells 4 years later for 1500 • The obvious profit is 500 = 1500 - 1000 • From an NPV perspective, however, we get • NPV = 1500 / (1+r) exp 4 - 1000 • This amount depends on discount rate, r • If r = 10%, NPV ~ 1500 / 1.47 - 1000 ~ 20 • Try telling that to tax authorities -- or others!
Benefit - Cost • Ratio = B / C (Present Values) • Objective: • To Maximize • Advantage: • Common Scale, Useful in Ranking • Disadvantages: • Treatment of Recurring Costs B / C or Net Benefits/Investment = > Bias against operating projects • Ranking sensitive to rlow r = > higher rank for long-term projects
A Comparison of a Capital Intensive and Operations Project (Benefits in Present Values)
The Ranking of Projects by Benefit-Cost Criterion Can Depend on DR
Internal Rate of Return • IRR = r such that NPV = 0 • Objective: • Maximize IRR • Advantages: • No need to choose r • Manipulation by r impossible • Disadvantages: • Calculations complex -- but easy in spreadsheet • Ambiguous • Note: ranking by IRR and B/C ratio may differ
Data for calculation of IRR Repeat of Example in Present Value/DCF lecture Example: Note: b9:k9 => range of years from 2001 to 2010 This NPV calculation assumes cash flows all at end of year
Spreadsheet Determination of IRR Note: b9:k9 => range of years from 2001 to 2010 This NPV calculation assumes cash flows all at end of year
NPV Cash flow 500 t DR 5 % 200 Projects can Lead to Ambiguous Solutions for the Internal Rate of Return 310
Ranking of Projects by Internal Rate of Return and Benefit-Cost Ratio Can Differ
Pay-Back Period • PBP = Cost/Annual Benefits • Note: undiscounted • Objective: • To minimize • Advantages: • Really simple • No choice of r • Disadvantages • Difficult to rank correctly projects with different useful lives or uneven cash flows
Cost- Effectiveness Ratio Ratio = (Units of Benefit) / Cost example: “lives saved/million dollars” Objective: To Maximize Advantage: Avoids problem of trying to assign $ values to “intangibles” such as a “life”, “ton of pollution”, etc. Disadvantage: No sense for minimum standard or limits
Recommended Procedure (if you have discretion to choose) Examine Nature of projects Easy to put into $ terms? Steady cash flows? or with closure costs? Or various project lifetimes? An operating or a straight capital investment? Choose Method Accordingly No method is perfect -- ultimately a judgment Current “best practice” uses several criteria; uses judgment to decide on project
A Note for Optimal Plant Exercise Part 1 Average Costs of Production vary